{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "bizarre-rotation",
   "metadata": {},
   "source": [
    "### Density Heatmaps with Plotly Express"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "devoted-stereo",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.express as px\n",
    "df = px.data.tips()\n",
    "\n",
    "fig = px.density_heatmap(df, x=\"total_bill\", y=\"tip\", nbinsx=20, nbinsy=20, color_continuous_scale=\"Viridis\")\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "aging-longer",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.express as px\n",
    "df = px.data.tips()\n",
    "\n",
    "fig = px.density_heatmap(df, x=\"total_bill\", y=\"tip\", marginal_x=\"histogram\", marginal_y=\"histogram\")\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "abstract-husband",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.express as px\n",
    "df = px.data.tips()\n",
    "\n",
    "fig = px.density_heatmap(df, x=\"total_bill\", y=\"tip\", facet_row=\"sex\", facet_col=\"smoker\")\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "actual-inquiry",
   "metadata": {},
   "source": [
    "### Displaying Text"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "breeding-biodiversity",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.express as px\n",
    "df = px.data.tips()\n",
    "\n",
    "fig = px.density_heatmap(df, x=\"total_bill\", y=\"tip\", text_auto=True)\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "editorial-writing",
   "metadata": {},
   "source": [
    "### 2D Histogram Binning and Styling Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "assigned-nursing",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.graph_objects as go\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "x = np.random.randn(500)\n",
    "y = np.random.randn(500)+1\n",
    "\n",
    "fig = go.Figure(go.Histogram2d(x=x, y=y, histnorm='probability',\n",
    "        autobinx=False,\n",
    "        xbins=dict(start=-3, end=3, size=0.1),\n",
    "        autobiny=False,\n",
    "        ybins=dict(start=-2.5, end=4, size=0.1),\n",
    "        colorscale=[[0, 'rgb(12,51,131)'], [0.25, 'rgb(10,136,186)'], [0.5, 'rgb(242,211,56)'], [0.75, 'rgb(242,143,56)'], [1, 'rgb(217,30,30)']]\n",
    "    ))\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "hazardous-dayton",
   "metadata": {},
   "source": [
    "### Sharing bin settings between 2D Histograms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "thirty-engagement",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.graph_objects as go\n",
    "from plotly.subplots import make_subplots\n",
    "\n",
    "fig = make_subplots(2,2)\n",
    "fig.add_trace(go.Histogram2d(\n",
    "    x = [ 1, 2, 2, 3, 4 ],\n",
    "    y = [ 1, 2, 2, 3, 4 ],\n",
    "    coloraxis = \"coloraxis\",\n",
    "    xbins = {'start':1, 'size':1}), 1,1)\n",
    "fig.add_trace(go.Histogram2d(\n",
    "    x = [ 4, 5, 5, 5, 6 ],\n",
    "    y = [ 4, 5, 5, 5, 6 ],\n",
    "    coloraxis = \"coloraxis\",\n",
    "    ybins = {'start': 3, 'size': 1}),1,2)\n",
    "fig.add_trace(go.Histogram2d(\n",
    "    x = [ 1, 2, 2, 3, 4 ],\n",
    "    y = [ 1, 2, 2, 3, 4 ],\n",
    "    bingroup = 1,\n",
    "    coloraxis = \"coloraxis\",\n",
    "    xbins = {'start':1, 'size':1}), 2,1)\n",
    "fig.add_trace(go.Histogram2d(\n",
    "    x = [ 4, 5, 5, 5, 6 ],\n",
    "    y = [ 4, 5, 5, 5, 6 ],\n",
    "    bingroup = 1,\n",
    "    coloraxis = \"coloraxis\",\n",
    "    ybins = {'start': 3, 'size': 1}),2,2)\n",
    "fig.show(renderer=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "continental-updating",
   "metadata": {},
   "source": [
    "### 2D Histogram Overlaid with a Scatter Chart"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "rubber-annual",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.graph_objects as go\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "x0 = np.random.randn(100)/5. + 0.5  # 5. enforces float division\n",
    "y0 = np.random.randn(100)/5. + 0.5\n",
    "x1 = np.random.rand(50)\n",
    "y1 = np.random.rand(50) + 1.0\n",
    "\n",
    "x = np.concatenate([x0, x1])\n",
    "y = np.concatenate([y0, y1])\n",
    "\n",
    "fig = go.Figure()\n",
    "\n",
    "fig.add_trace(go.Scatter(\n",
    "    x=x0,\n",
    "    y=y0,\n",
    "    mode='markers',\n",
    "    showlegend=False,\n",
    "    marker=dict(\n",
    "        symbol='x',\n",
    "        opacity=0.7,\n",
    "        color='white',\n",
    "        size=8,\n",
    "        line=dict(width=1),\n",
    "    )\n",
    "))\n",
    "fig.add_trace(go.Scatter(\n",
    "    x=x1,\n",
    "    y=y1,\n",
    "    mode='markers',\n",
    "    showlegend=False,\n",
    "    marker=dict(\n",
    "        symbol='circle',\n",
    "        opacity=0.7,\n",
    "        color='white',\n",
    "        size=8,\n",
    "        line=dict(width=1),\n",
    "    )\n",
    "))\n",
    "fig.add_trace(go.Histogram2d(\n",
    "    x=x,\n",
    "    y=y,\n",
    "    colorscale='YlGnBu',\n",
    "    zmax=10,\n",
    "    nbinsx=14,\n",
    "    nbinsy=14,\n",
    "    zauto=False,\n",
    "))\n",
    "\n",
    "fig.update_layout(\n",
    "    xaxis=dict( ticks='', showgrid=False, zeroline=False, nticks=20 ),\n",
    "    yaxis=dict( ticks='', showgrid=False, zeroline=False, nticks=20 ),\n",
    "    autosize=False,\n",
    "    height=550,\n",
    "    width=550,\n",
    "    hovermode='closest',\n",
    "\n",
    ")\n",
    "\n",
    "fig.show(renderer=\"png\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
